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110023042311 = 3371332571031
BaseRepresentation
bin110011001110111100…
…0100110010100000111
3101111222200202122111000
41212131320212110013
53300311344323221
6122313251344343
710643321300130
oct1463570462407
9344880678430
10110023042311
114272a159146
12193a65b20b3
13a4b5207000
14547a2a0c87
152cde149e26
hex199de26507

110023042311 has 128 divisors (see below), whose sum is σ = 202780569600. Its totient is φ = 57752248320.

The previous prime is 110023042279. The next prime is 110023042391. The reversal of 110023042311 is 113240320011.

110023042311 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 230 + 423 + 11 = 666.

It is not a de Polignac number, because 110023042311 - 25 = 110023042279 is a prime.

It is a super-3 number, since 3×1100230423113 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110023042391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106714366 + ... + 106715396.

It is an arithmetic number, because the mean of its divisors is an integer number (1584223200).

Almost surely, 2110023042311 is an apocalyptic number.

110023042311 is a deficient number, since it is larger than the sum of its proper divisors (92757527289).

110023042311 is a wasteful number, since it uses less digits than its factorization.

110023042311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110023042311 its reverse (113240320011), we get a palindrome (223263362322).

The spelling of 110023042311 in words is "one hundred ten billion, twenty-three million, forty-two thousand, three hundred eleven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 169 189 257 273 351 507 771 819 1031 1183 1521 1799 2197 2313 2457 3093 3341 3549 4563 5397 6591 6939 7217 9279 10023 10647 13403 15379 16191 19773 21651 23387 27837 30069 31941 40209 43433 46137 48573 59319 64953 70161 90207 93821 120627 130299 138411 174239 194859 210483 264967 281463 304031 361881 390897 415233 522717 564629 631449 794901 844389 912093 1172691 1219673 1568151 1693887 1854769 2265107 2384703 2533167 2736279 3444571 3659019 3952403 4704453 5081661 5564307 6795321 7154109 8208837 10333713 10977057 11857209 15244983 15855749 16692921 20385963 24111997 31001139 32931171 35571627 44779423 47567247 50078763 61157889 72335991 93003417 106714881 134338269 142701741 217007973 313455961 403014807 428105223 582132499 651023919 940367883 1209044421 1746397497 2821103649 4074927493 5239192491 8463310947 12224782479 15717577473 36674347437 110023042311